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Finding the Third Proportional to 285,266.25 and 444,257.02

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Solution

The third proportional to 285,266.25 and 444,257.02 is: 691,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,266.25 : 444,257.02 = 444,257.02 : x
  2. Step 2: Convert to fraction form
    285,266.25/444,257.02 = 444,257.02/x
  3. Step 3: Cross multiply
    285,266.25x = 444,257.02 × 444,257.02
  4. Step 4: Simplify right side
    285,266.25x = 197,364,295,932.03
  5. Step 5: Solve for x
    x = 197,364,295,932.03/285,266.25
  6. Step 6: Final answer
    x = 691,859.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.